at the bottom of a loop in the vertical plane an airplane has a horizontal velocity of 315 mi/h and is speeding up at a rate of of 10ft/s^2. The radius of curvature of the loop is 1mi. The plane is being tracked by radar at O. What are the recorded values of r dot, r double dot, theta dot and theta double dot for this instant?

## Problem regarding helium balloonsTo float a 160 pound man using helium balloons (assume 0.52 cubic feet per inflated balloon). How many balloons would it take? Assume density of air is 1.29 kg/cubic meter and the density of helium is 0.179 kg/cubic meter. |

## Write computer code using matlab that emoloyes the nelderwrite computer code using Matlab that emoloyes the nelder and mead simplex method to solve the welded-beam design (benchmark problem |

## Determine the x-y and z components of the force exertedCable AC is 70 ft long, and the tension i nthe cable is 5250 lb. Determine the x, y, and z components of the force exerted by the cavle on the anchor C. Also, find the angles theta-x, theta-y, and theta-z defining the direction of the force. |

## Design a column base plateDesign a column base plate for a W10 x 33 column supporting a service dead load of 20 kips and a service live load of 50 kips. The column is supported by a 12-inch x 12-inch concrete pier. Use A36 steel and f 'c = 3 ksi. Answer 12 x 12 x 5/8 |

## Determine what is the overflow rate of each tanktwo sedimentation tanks operate in parallel. The combined flow to the two tanks is .1 m^3/s. the depth of each tank is 2 m and each has a detention time of 4 h. |

## What is the probability of no health hazard in 30 daysAir pollution in a city is caused by the following four sources: vehicle exhaust (V), industrial exhaust (I), dust (D), and pollen from plants and trees (T). On a particular day, the likelihood of air pollution caused by these sources is 4:3:2:1, .. |

## Determine what is ow rate of sea water through the tunnelGoogle budgets for an energy consumption of the pump for this system of 2MW. If the pump 1 has an efciency of n= 87%, what is the ow rate of sea water through this tunnel |

## Derive the 3-h snyder unit hydrograph for a 100-square kmDerive the 3-h Snyder unit hydrograph for a 100-km^2 watershed where the main stream is 15 km long and the distance from the watershed outlet to the point on the stream nearest to the centroid of the watershed is 7 km. |

## Compute the radius of the curveA simple curve has a central angle of 42degreess. A point Y is located 24m from the vertex and has a perpendicular distance of 3.00m from the back tangent. |

## Determine speed of sliding on smooth plane just after impactIf they are sliding on a smooth horizontal plane with the velocities shown, determine their speeds just after impact. The coefficient of restitution between them is e = 0.6. Disks A and B have a mass of 16kg and 11kg , respectively. |

## Determine the water depth at 30 m upstream of the brinkThe channel entrance is rounded and smooth (negligible head loss at entrance), and the reservoir water surface is 2.5 m above the bed of the channel at the entrance. hf=0.00019*Q2, where Q (in m3/s) is the discharge in the channel. |

## Determine the increment of vertical stress in the soilConstructing the foundation causes changes in the levels of vertical stress at all points in the soil. One such point lies at the centre of the footing plan, and is at a depth of 10 m. Determine the increment of vertical stress there. |

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